Aptitude - Problems on H.C.F and L.C.M - Discussion
Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 24)
24.
Which of the following fraction is the largest ?
Answer: Option
Explanation:
L.C.M. of 8, 16, 40 and 80 = 80.
| 7 | = | 70 | ; | 13 | = | 65 | ; | 31 | = | 62 |
| 8 | 80 | 16 | 80 | 40 | 80 |
| Since, | 70 | > | 65 | > | 63 | > | 62 | , so | 7 | > | 13 | > | 63 | > | 31 |
| 80 | 80 | 80 | 80 | 8 | 16 | 80 | 40 |
| So, | 7 | is the largest. |
| 8 |
Discussion:
49 comments Page 5 of 5.
Ishan said:
1 decade ago
Deepika you are right.
Hanumanth said:
1 decade ago
The simple way to solve this type of problems is.
The difference between the numerator and denominator less than any of the given numbers is the largest value.
Ex:
7/8=1.
13/16=3.
31/40=9.
63/80=17.
Less difference is 1 so 7/8 is greater value.
The difference between the numerator and denominator less than any of the given numbers is the largest value.
Ex:
7/8=1.
13/16=3.
31/40=9.
63/80=17.
Less difference is 1 so 7/8 is greater value.
NaveenKK said:
1 decade ago
Add 1 in for all the numerators.
Or simply find the diff bw denominator-numerator whose diff is less that is your answer.
Or simply find the diff bw denominator-numerator whose diff is less that is your answer.
Yamini.p said:
1 decade ago
First compare the options from this multiply a&b.
Cross multiplication,
7/8x13/16 = 112,104,
So here 112 is highest so, 7/8 is highest.
Again comparison a&c.
7/8x31/40 = 280,240.
So here 280 is higher so, 7/8 is highest.
Again comparison a&d.
7/8x63/80 = 560,504.
So here 560 is higher so, 7/8 is highest.
The answer is 7/8 is the higher.
Cross multiplication,
7/8x13/16 = 112,104,
So here 112 is highest so, 7/8 is highest.
Again comparison a&c.
7/8x31/40 = 280,240.
So here 280 is higher so, 7/8 is highest.
Again comparison a&d.
7/8x63/80 = 560,504.
So here 560 is higher so, 7/8 is highest.
The answer is 7/8 is the higher.
Shyam said:
1 decade ago
Dear @Naveenkk can you please explain with details as @Hanumanth.
And is this method applicable to all this type of problems. Like those don't have common divisor.
And is this method applicable to all this type of problems. Like those don't have common divisor.
Sowmya said:
1 decade ago
I think answer given by @Hanumanth is right and easy. But is it applicable to all problems ?
Dhanya said:
1 decade ago
LCMof 8, 16, 40, 80 is 80 only. It is correct.
Manju said:
1 decade ago
Hai guys!
The following fractions are 7/8, 13/16, 31/40, 63/80.
If we take 7/8. First we have to sub these (8-7 =1 ) and divide numerator with 1 (7/1 = 7) same process.
13/16, 16-13 = 3 13/3 = 4.3.
31/40, 40-31 = 9 31/9 = 3.4.
63/80, 80-63 = 17 60/17 = 3.94.
By this we can easily say that 7, 4.3, 3.94, 3.4.
(this process we can applicable for descending and ascending order).
The following fractions are 7/8, 13/16, 31/40, 63/80.
If we take 7/8. First we have to sub these (8-7 =1 ) and divide numerator with 1 (7/1 = 7) same process.
13/16, 16-13 = 3 13/3 = 4.3.
31/40, 40-31 = 9 31/9 = 3.4.
63/80, 80-63 = 17 60/17 = 3.94.
By this we can easily say that 7, 4.3, 3.94, 3.4.
(this process we can applicable for descending and ascending order).
Vijaya said:
1 decade ago
Easy way is
7/8=0.875
13/16=0.8125
31/40=0.775
63/80=0.7875
by this we can easily say dat 7/8 is the largest fraction of them.
7/8=0.875
13/16=0.8125
31/40=0.775
63/80=0.7875
by this we can easily say dat 7/8 is the largest fraction of them.
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